Finite Group Databasebeta

← C11×#18472 #14595665

Subgroups — C11×#18472 #14595665

Order 2816.

846 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3564C211yesmaximal, characteristic
2C11×#3238C211yesmaximal, characteristic, complemented
3C11×#3229C211yesmaximal, characteristic, complemented
4C11×#2821C211yesmaximal, characteristic, complemented
5C11×#1612C212yesmaximal
6C11×#1611C212yesmaximal, complemented
7C11×#1609C212yesmaximal, complemented
8C11×#1608C212yesmaximal, complemented
9C11×#1521C211yesmaximal, characteristic, complemented
10C11×#1515C211yesmaximal, characteristic, complemented
11C11×#1473C211yesmaximal, characteristic, complemented
12C11×#563—21no—
13C11×#563—21no—
14C11×#556—21no—
15C11×#554—21no—
16C11×#552—21no—
17C11×#552—21no—
18C11×#551—21no—
19C11×#551—21no—
20C11×#544C2211yescharacteristic
21C11×#543C2211yescharacteristic
22C11×#542—21no—
23C11×#541—21no—
24C11×#541—21no—
25C11×#539—21no—
26C11×#539C2211yescharacteristic
27C11×#538C2211yescharacteristic
28C11×#533C2211yescharacteristic
29C2×C11×C4⋊Q8C2211yescharacteristic
30C11×#529C2211yescharacteristic
31C2×C11×#126C2211yescharacteristic
32C11×#501—21no—
33C11×#498—21no—
34C11×#489—21no—
35C11×#487—21no—
36C11×#483C2212yes—
37C11×#483C2212yes—
38C11×#483C2212yes—
39C11×#480C2212yes—
40C11×#477—21no—
41C11×#476—21no—
42C11×#475—21no—
43C11×#475—21no—
44C11×#432C2211yescharacteristic
45C11×#431C2211yescharacteristic
46C11×#400—21no—
47C11×#399—21no—
48C11×#398C2212yes—
49C11×#397C2212yes—
50C11×#395—21no—
51C11×#393—21no—
52C11×#383C2211yescharacteristic
53C11×#328C2212yes—
54C11×#328C2212yes—
55C11×#328C2212yes—
56C11×#327C2212yes—
57C11×#324C2212yes—
58C11×#323C2212yes—
59C22×Q8×C11—21no—
60C11×C4⋊Q8—21no—
61C11×C4⋊Q8—21no—
62C11×C4⋊Q8—21no—
63C11×C4⋊Q8—21no—
64C11×C4⋊Q8—21no—
65C11×C4⋊Q8—21no—
66C11×C4⋊Q8—21no—
67C11×C4⋊Q8D411yescharacteristic
68C11×C4⋊Q8D411yescharacteristic
69C11×#126—21no—
70C11×#126—21no—
71C11×#126—21no—
72C11×#126—21no—
73C11×#126—21no—
74C11×#126—21no—
75C11×#126—21no—
76C11×#126—21no—
77C11×#126—21no—
78C11×#126—21no—
79C11×#126—21no—
80C11×#126—21no—
81C11×#126—21no—
82C11×#125—21no—
83C11×#125—21no—
84C11×#125—21no—
85C11×#125—21no—
86C11×#125—21no—
87C11×#125—21no—
88C11×#125—21no—
89C11×#125—21no—
90C11×#125—21no—
91C11×#125D411yescharacteristic
92C11×#124—21no—
93C11×#124—21no—
94C11×#124—21no—
95C11×#124D411yescharacteristic
96C11×#123—21no—
97C11×#123—21no—
98C11×#123—21no—
99C11×#123—21no—
100C11×#123—21no—
101C11×#123—21no—
102C11×#123—21no—
103C11×#123—21no—
104C11×C22⋊Q8—21no—
105C11×C22⋊Q8—21no—
106C11×C22⋊Q8—21no—
107C11×C22⋊Q8—21no—
108C11×C22⋊Q8—21no—
109C11×C22⋊Q8—21no—
110C11×C22⋊Q8—21no—
111C11×C22⋊Q8—21no—
112C11×C22⋊Q8—21no—
113C11×C22⋊Q8—21no—
114C11×C22⋊Q8—21no—
115C11×C22⋊Q8—21no—
116C11×C22⋊Q8—21no—
117C11×C22⋊Q8—21no—
118C11×C22⋊Q8C2311yescharacteristic
119C11×C22⋊Q8C2311yescharacteristic
120C11×C22⋊Q8C2311yescharacteristic
121C11×#121—21no—
122C11×#121C2311yescharacteristic
123C11×#120—21no—
124C4×Q8×C11—21no—
125C4×Q8×C11—21no—
126C4×Q8×C11—21no—
127C4×Q8×C11D411yescharacteristic
128C4×Q8×C11D411yescharacteristic
129C4×Q8×C11D411yescharacteristic
130C4×D4×C11—21no—
131C4×D4×C11—21no—
132C4×D4×C11—21no—
133C4×D4×C11—21no—
134C4×D4×C11—21no—
135C4×D4×C11D411yescharacteristic
136C11×#117—21no—
137C11×#117—21no—
138C11×#117—21no—
139C11×#117—21no—
140C11×#117—21no—
141C11×#117—21no—
142C2×C11×C4⋊C4—21no—
143C2×C11×C4⋊C4—21no—
144C2×C11×C4⋊C4—22no—
145C2×C11×C4⋊C4D411yescharacteristic
146C2×C11×C4⋊C4D411yescharacteristic
147C2×C11×C4⋊C4C2312yes—
148C2×C11×C4⋊C4C2311yescharacteristic
149C2×C11×C22⋊C4—21no—
150C2×C11×C22⋊C4—22no—
151C2×C11×C22⋊C4D411yescharacteristic
152C2×C11×C22⋊C4D411yescharacteristic
153C2×C11×C22⋊C4C2311yescharacteristic
154C2×C42×C11C2311yescharacteristic
155C11×#107—22no—
156C11×#106—22no—
157C11×#106—22no—
158C11×#106—22no—
159C11×C4⋊C8—21no—
160C11×C4⋊C8—21no—
161C11×#103—22no—
162C11×#103—22no—
163C11×#103—22no—
164C11×#102—22no—
165C11×C22⋊C8C2312yes—
166C11×C22⋊C8C2312yes—
167C11×#97—21no—
168C4×C8×C11—21no—
169C11×#95—21no—
170C11×#95—21no—
171C11×#95—22no—
172C11×#95—22no—
173C11×#95C2312yes—
174#18472C1111yesmaximal, characteristic, direct product factor, Sylow
175C24×C11C2×D411yescharacteristic
176C2×Q8×C11—21no—
177C2×Q8×C11—21no—
178C2×Q8×C11—21no—
179C2×Q8×C11—41no—
180C2×Q8×C11—41no—
181C2×Q8×C11—82no—
182C2×Q8×C11C2×D411yescharacteristic
183C2×Q8×C11C2×D411yescharacteristic
184C2×Q8×C11C2×D411yescharacteristic
185C2×D4×C11—21no—
186C2×D4×C11—21no—
187C2×D4×C11—21no—
188C2×D4×C11C2×D411yescharacteristic
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11—21no—
193C22×C4×C11—21no—
194C22×C4×C11—22no—
195C22×C4×C11—22no—
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11C2×D411yescharacteristic
201C22×C4×C11C2411yescharacteristic
202C2×C8×C11—22no—
203C2×C8×C11—22no—
204C11×C4⋊C4—21no—
205C11×C4⋊C4—21no—
206C11×C4⋊C4—21no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4—21no—
214C11×C4⋊C4—21no—
215C11×C4⋊C4—21no—
216C11×C4⋊C4—21no—
217C11×C4⋊C4—21no—
218C11×C4⋊C4—21no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—21no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4—21no—
232C11×C4⋊C4—21no—
233C11×C4⋊C4—22no—
234C11×C4⋊C4—22no—
235C11×C4⋊C4—41no—
236C11×C4⋊C4—41no—
237C11×C4⋊C4—82no—
238C11×C4⋊C4C2×D411yescharacteristic
239C11×C4⋊C4C2×D411yescharacteristic
240C11×C4⋊C4C2×D411yescharacteristic
241C11×C4⋊C4C2×D411yescharacteristic
242C11×C22⋊C4—21no—
243C11×C22⋊C4—21no—
244C11×C22⋊C4—21no—
245C11×C22⋊C4—21no—
246C11×C22⋊C4—21no—
247C11×C22⋊C4—21no—
248C11×C22⋊C4—21no—
249C11×C22⋊C4—21no—
250C11×C22⋊C4—21no—
251C11×C22⋊C4—21no—
252C11×C22⋊C4—21no—
253C11×C22⋊C4—21no—
254C11×C22⋊C4—21no—
255C11×C22⋊C4—21no—
256C11×C22⋊C4—21no—
257C11×C22⋊C4—21no—
258C11×C22⋊C4—21no—
259C11×C22⋊C4—21no—
260C11×C22⋊C4—21no—
261C11×C22⋊C4—21no—
262C11×C22⋊C4—21no—
263C11×C22⋊C4—82no—
264C42×C11—21no—
265C42×C11—21no—
266C42×C11—21no—
267C42×C11—21no—
268C42×C11—21no—
269C42×C11—21no—
270C42×C11—21no—
271C42×C11C2×D411yescharacteristic
272C42×C11C2×D411yescharacteristic
273C42×C11C2×D411yescharacteristic
274C42×C11C2×D411yescharacteristic
275#3564C2×C1111yescharacteristic
276#3238C2×C1111yescharacteristic, complemented
277#3229C2×C1111yescharacteristic, complemented
278#2821C2×C1111yescharacteristic, complemented
279#1612C2×C1112yes—
280#1611C2×C1112yescomplemented
281#1609C2×C1112yescomplemented
282#1608C2×C1112yescomplemented
283#1521C2×C1111yescharacteristic, complemented
284#1515C2×C1111yescharacteristic, complemented
285#1473C2×C1111yescharacteristic, complemented
286C23×C11—21no—
287C23×C11—21no—
288C23×C11—22no—
289C23×C11—41no—
290C23×C11—41no—
291C23×C11C22×D411yescharacteristic
292Q8×C11—41no—
293Q8×C11—41no—
294Q8×C11—41no—
295Q8×C11—81no—
296Q8×C11—82no—
297Q8×C11—82no—
298Q8×C11—81no—
299Q8×C11—81no—
300D4×C11—41no—
301D4×C11—42no—
302D4×C11—81no—
303D4×C11—81no—
304C2×C4×C11—22no—
305C2×C4×C11—21no—
306C2×C4×C11—21no—
307C2×C4×C11—21no—
308C2×C4×C11—21no—
309C2×C4×C11—21no—
310C2×C4×C11—21no—
311C2×C4×C11—21no—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—21no—
315C2×C4×C11—22no—
316C2×C4×C11—41no—
317C2×C4×C11—41no—
318C2×C4×C11—41no—
319C2×C4×C11—41no—
320C2×C4×C11—42no—
321C2×C4×C11—42no—
322C2×C4×C11—42no—
323C2×C4×C11—42no—
324C2×C4×C11—42no—
325C2×C4×C11—42no—
326C2×C4×C11—81no—
327C2×C4×C11—81no—
328C2×C4×C11—81no—
329C2×C4×C11—81no—
330C2×C4×C11—81no—
331C2×C4×C11#12011yescharacteristic
332C2×C4×C11#12011yescharacteristic
333C2×C4×C11#12011yescharacteristic
334C2×C4×C11#12011yescharacteristic
335C2×C4×C11C22×D411yescharacteristic
336C2×C4×C11C22×D411yescharacteristic
337C8×C11—42no—
338C8×C11—42no—
339#563—21no—
340#563—21no—
341#556—21no—
342#554—21no—
343#552—21no—
344#552—21no—
345#551—21no—
346#551—21no—
347#544C22×C1111yescharacteristic
348#543C22×C1111yescharacteristic
349#542—21no—
350#541—21no—
351#541—21no—
352#539—21no—
353#539C22×C1111yescharacteristic
354#538C22×C1111yescharacteristic
355#533C22×C1111yescharacteristic
356C2×C4⋊Q8C22×C1111yescharacteristic
357#529C22×C1111yescharacteristic
358C2×#126C22×C1111yescharacteristic
359#501—21no—
360#498—21no—
361#489—21no—
362#487—21no—
363#483C22×C1112yes—
364#483C22×C1112yes—
365#483C22×C1112yes—
366#480C22×C1112yes—
367#477—21no—
368#476—21no—
369#475—21no—
370#475—21no—
371#432C22×C1111yescharacteristic
372#431C22×C1111yescharacteristic
373#400—21no—
374#399—21no—
375#398C22×C1112yes—
376#397C22×C1112yes—
377#395—21no—
378#393—21no—
379#383C22×C1111yescharacteristic
380#328C22×C1112yes—
381#328C22×C1112yes—
382#328C22×C1112yes—
383#327C22×C1112yes—
384#324C22×C1112yes—
385#323C22×C1112yes—
386C22×C11—21no—
387C22×C11—21no—
388C22×C11—41no—
389C22×C11—41no—
390C22×C11—41no—
391C22×C11—41no—
392C22×C11—41no—
393C22×C11—41no—
394C22×C11—82no—
395C22×C11C2×#12011yescharacteristic
396C22×C11#57712yes—
397C4×C11—21no—
398C4×C11—21no—
399C4×C11—21no—
400C4×C11—21no—
401C4×C11—21no—
402C4×C11—21no—
403C4×C11—41no—
404C4×C11—41no—
405C4×C11—41no—
406C4×C11—41no—
407C4×C11—41no—
408C4×C11—41no—
409C4×C11—41no—
410C4×C11—41no—
411C4×C11—41no—
412C4×C11—41no—
413C4×C11—82no—
414C4×C11—82no—
415C22×Q8—21no—
416C4⋊Q8—21no—
417C4⋊Q8—21no—
418C4⋊Q8—21no—
419C4⋊Q8—21no—
420C4⋊Q8—21no—
421C4⋊Q8—21no—
422C4⋊Q8—21no—
423C4⋊Q8D4×C1111yescharacteristic
424C4⋊Q8D4×C1111yescharacteristic
425#126—21no—
426#126—21no—
427#126—21no—
428#126—21no—
429#126—21no—
430#126—21no—
431#126—21no—
432#126—21no—
433#126—21no—
434#126—21no—
435#126—21no—
436#126—21no—
437#126—21no—
438#125—21no—
439#125—21no—
440#125—21no—
441#125—21no—
442#125—21no—
443#125—21no—
444#125—21no—
445#125—21no—
446#125—21no—
447#125D4×C1111yescharacteristic
448#124—21no—
449#124—21no—
450#124—21no—
451#124D4×C1111yescharacteristic
452#123—21no—
453#123—21no—
454#123—21no—
455#123—21no—
456#123—21no—
457#123—21no—
458#123—21no—
459#123—21no—
460C22⋊Q8—21no—
461C22⋊Q8—21no—
462C22⋊Q8—21no—
463C22⋊Q8—21no—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466C22⋊Q8—21no—
467C22⋊Q8—21no—
468C22⋊Q8—21no—
469C22⋊Q8—21no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8C23×C1111yescharacteristic
475C22⋊Q8C23×C1111yescharacteristic
476C22⋊Q8C23×C1111yescharacteristic
477#121—21no—
478#121C23×C1111yescharacteristic
479#120—21no—
480C4×Q8—21no—
481C4×Q8—21no—
482C4×Q8—21no—
483C4×Q8D4×C1111yescharacteristic
484C4×Q8D4×C1111yescharacteristic
485C4×Q8D4×C1111yescharacteristic
486C4×D4—21no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4D4×C1111yescharacteristic
492#117—21no—
493#117—21no—
494#117—21no—
495#117—21no—
496#117—21no—
497#117—21no—
498C2×C4⋊C4—21no—
499C2×C4⋊C4—21no—
500C2×C4⋊C4—22no—
501C2×C4⋊C4D4×C1111yescharacteristic
502C2×C4⋊C4D4×C1111yescharacteristic
503C2×C4⋊C4C23×C1112yes—
504C2×C4⋊C4C23×C1111yescharacteristic
505C2×C22⋊C4—21no—
506C2×C22⋊C4—22no—
507C2×C22⋊C4D4×C1111yescharacteristic
508C2×C22⋊C4D4×C1111yescharacteristic
509C2×C22⋊C4C23×C1111yescharacteristic
510C2×C42C23×C1111yescharacteristic
511#107—22no—
512#106—22no—
513#106—22no—
514#106—22no—
515C4⋊C8—21no—
516C4⋊C8—21no—
517#103—22no—
518#103—22no—
519#103—22no—
520#102—22no—
521C22⋊C8C23×C1112yes—
522C22⋊C8C23×C1112yes—
523#97—21no—
524C4×C8—21no—
525#95—21no—
526#95—21no—
527#95—22no—
528#95—22no—
529#95C23×C1112yes—
530C2×C11—22no—
531C2×C11—81no—
532C2×C11—81no—
533C2×C11#301011yescharacteristic
534C2×C11#302211yescharacteristic
535C2×C11#302811yescharacteristic
536C24C2×D4×C1111yescharacteristic
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—41no—
541C2×Q8—41no—
542C2×Q8—82no—
543C2×Q8C2×D4×C1111yescharacteristic
544C2×Q8C2×D4×C1111yescharacteristic
545C2×Q8C2×D4×C1111yescharacteristic
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4C2×D4×C1111yescharacteristic
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4C2×D4×C1111yescharacteristic
558C22×C4C2×D4×C1111yescharacteristic
559C22×C4C2×D4×C1111yescharacteristic
560C22×C4C2×D4×C1111yescharacteristic
561C22×C4C2×D4×C1111yescharacteristic
562C22×C4C24×C1111yescharacteristic
563C2×C8—22no—
564C2×C8—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—41no—
597C4⋊C4—41no—
598C4⋊C4—82no—
599C4⋊C4C2×D4×C1111yescharacteristic
600C4⋊C4C2×D4×C1111yescharacteristic
601C4⋊C4C2×D4×C1111yescharacteristic
602C4⋊C4C2×D4×C1111yescharacteristic
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—82no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—21no—
629C42—21no—
630C42—21no—
631C42—21no—
632C42C2×D4×C1111yescharacteristic
633C42C2×D4×C1111yescharacteristic
634C42C2×D4×C1111yescharacteristic
635C42C2×D4×C1111yescharacteristic
636C11#1847211yescharacteristic, direct product factor, Sylow
637C23—21no—
638C23—21no—
639C23—22no—
640C23—41no—
641C23—41no—
642C23C22×D4×C1111yescharacteristic
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—81no—
647Q8—82no—
648Q8—82no—
649Q8—81no—
650Q8—81no—
651D4—41no—
652D4—42no—
653D4—81no—
654D4—81no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4C11×#12011yescharacteristic
683C2×C4C11×#12011yescharacteristic
684C2×C4C11×#12011yescharacteristic
685C2×C4C11×#12011yescharacteristic
686C2×C4C22×D4×C1111yescharacteristic
687C2×C4C22×D4×C1111yescharacteristic
688C8—42no—
689C8—42no—
690C22—21no—
691C22—21no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—82no—
699C22C2×C11×#12011yescharacteristic
700C22C11×#57712yes—
701C4—21no—
702C4—21no—
703C4—21no—
704C4—21no—
705C4—21no—
706C4—21no—
707C4—41no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—82no—
718C4—82no—
719C2—22no—
720C2—81no—
721C2—81no—
722C2C11×#301011yescharacteristic
723C2C11×#302211yescharacteristic
724C2C11×#302811yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#538C22
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C42×C11 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C11×#3238C2semidirect
3. C11×#3229C2semidirect
4. C11×#2821C2semidirect
6. C11×#1611C2semidirect
7. C11×#1609C2semidirect
8. C11×#1608C2semidirect
9. C11×#1521C2semidirect
10. C11×#1515C2semidirect
11. C11×#1473C2semidirect
174. #18472C11direct (N × H)
276. #3238C2×C11semidirect
277. #3229C2×C11semidirect
278. #2821C2×C11semidirect
280. #1611C2×C11semidirect
281. #1609C2×C11semidirect
282. #1608C2×C11semidirect
283. #1521C2×C11semidirect
284. #1515C2×C11semidirect
285. #1473C2×C11semidirect
636. C11#18472direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C11×#35642
C11×#32382
C11×#32292
C11×#28212
C11×#16122
C11×#16112
C11×#16092
C11×#16082
C11×#15212
C11×#15152
C11×#14732
#1847211